Let me analyze the questions based on the uploaded image and provide the answers to each one. Here's a breakdown:

71. In a right triangle, there is a line intersecting two segments. Determine the form of the equation for this line.

Answer: This seems to be a question related to the equation of a straight line, possibly in slope-intercept form: $y = ax + b$.

72. A line is parallel to another line, and we are asked to find the slope of the new line in terms of the original slope and other variables.

Answer: This seems to be about parallel lines, so the slope of the parallel line will be the same as the original line. The question could refer to the slope formula and the condition that slopes of parallel lines are equal.

73. Suppose a set of equations has a constant slope. Find the general form of the equation.

Answer: This question seems to refer to a linear equation, and the slope $m$ is a constant for such equations.

74. For a function $y = f(x)$, calculate the sum of specific terms.

Answer: This is a typical question where you need to sum terms or solve for a function, requiring additional clarification or context.

75. Find the solution to the following set of inequalities.

Answer: This seems to be related to solving inequalities or systems of inequalities, where the goal is to find the valid range of values.

76. Find the correct number of solutions to a given system of equations.

Answer: This question involves solving a system of equations and determining how many solutions exist.

77. Determine which of the given relations is a function.

Answer: This is about identifying a function, where a relation is a function if each input has exactly one output.

78. If we have a parametric equation involving two variables, determine which form is correct.

Answer: This seems to ask for the form of a parametric equation and which one satisfies the conditions given.

79. Find the equation of a function based on the given values of $a$ and $b$.

Answer: This likely involves finding a functional form from given constants.

80. Find the transformation of a function by removing a few variables.

Answer: This is about determining how the removal of variables changes the function.

Would you like more detailed explanations for each question? Feel free to ask about specific ones!

Here are some follow-up questions related to the content:

1. How do you derive the equation of a line in slope-intercept form?
2. Can you explain how to solve a system of inequalities graphically?
3. How can you determine if a relation is a function using the vertical line test?
4. What’s the difference between parametric equations and Cartesian equations?
5. How do transformations affect the graph of a function?

Tip: When solving linear equations or inequalities, it’s important to pay attention to signs and coefficients to avoid mistakes.